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Finding the Third Proportional to 269,059.50 and 585,411.75

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Solution

The third proportional to 269,059.50 and 585,411.75 is: 1,273,721.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,059.50 : 585,411.75 = 585,411.75 : x
  2. Step 2: Convert to fraction form
    269,059.50/585,411.75 = 585,411.75/x
  3. Step 3: Cross multiply
    269,059.50x = 585,411.75 × 585,411.75
  4. Step 4: Simplify right side
    269,059.50x = 342,706,917,038.06
  5. Step 5: Solve for x
    x = 342,706,917,038.06/269,059.50
  6. Step 6: Final answer
    x = 1,273,721.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.